The scale of the Fourier transform: a point of view of the fractional Fourier transform

8th International Congress of Engineering Physics

物理学;工业技术

Jimenez, C.J.^1 ; Vilardy, J.M.^2 ; Salinas, S.^3 ; Mattos, L.^4 ; Torres, C.O.^4

Grupo GIMA, Universidad de la Guajira, Riohacha (La Guajira), Colombia^1

Grupo GIFES, Faculty of Engineering, Universidad de la Guajira, Riohacha (La Guajira), Colombia^2

Centro de Investigación de Matemática Aplicada (CIMA), Universidad Del Zulia, Maracaibo, Venezuela^3

Grupo de Óptica e Informática, Department of Electronic Engineering, Universidad Popular Del Cesar, Valledupar (Cesar), Colombia^4

关键词: Converging lens;    Digital simulation;    Fourier;    Fractional Fourier transforms;    Ray-transfer matrix;    Thin lens;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/792/1/012044/pdf
DOI  :  10.1088/1742-6596/792/1/012044

学科分类：工业工程学

来源: IOP

【 摘 要 】

In this paper using the Fourier transform of order fractional, the ray transfer matrix for the symmetrical optical systems type ABCD and the formulae by Collins for the diffraction, we obtain explicitly the expression for scaled Fourier transform conventional; this result is the great importance in optical signal processing because it offers the possibility of scaling the size of output the Fourier distribution of the system, only by manipulating the distance of the diffraction object toward the thin lens, this research also emphasizes on practical limits when a finite spherical converging lens aperture is used. Digital simulation was carried out using the numerical platform of Matlab 7.1.